Keywords:-
Keywords:
Chemical reaction, MHD, viscoelastic fluid, Heat and Mass transfer, free convection.
Article Content:-
Abstract
A study has been carried out to analyse an unsteady free convective chemically reacting, MHD
Visco-elastic fluid flow past an infinite vertical plate in the presence of thermal radiation with
uniform temperature and species diffusion. The dimensionless governing partial differential
equations are solved by using closed analytical method. Numerical results for the velocity,
temperature, concentration and the rate of heat and mass transfer are shown graphically for different
values of physical parameters involved.
References:-
References
1. Stokes, G.G., 1851, “Flow of Viscous Incompressible
Fluid Past an Impulsively Started Infinite
Horizontal Plate,” Cambridge Phil. Trans. (9)8.
2. Walters, K., 1964, “Second-order Effects in
Elasticity, Plasticity and Fluid Dynamics,”
Pergamon, New York, p. 507.
3. Beard, D., Walters, K., 1964, “Elastico-viscous
boundary-layer flows. Part I. Two Dimensional
Flow near a Stagnation Point,” Proc. Camb.Phil.
Soc. 60, 667.
4. Rajagopal, K.R., Gupta, A.S., 1984, “An Exact
Solution for the Flow of a Non-Newtonian Fluid
Past an Infinite Porous Plate,” ActaMechanica. 19,
158-161.
5. Bestman, A.R., 1985, “Free Convection Heat
Transfer to Steady Radiating Non-Newtonian
MHD Flow Past a Vertical Porous Plate,”Int.J.
Numerical Methods in engineering. 21, 899-908.
6. Choubey, K.R., Yadav, R.R., 1985, “Magneto
Hydrodynamic Flow of a Non-Newtonian Fluid
Past a Porous Plate,” Astrophysics and Space
Science.115, 345-351.
7. Basant Kumar Jha., 1991, “MHD Free-Convection
and Mass Transfer Flow of an Elasto-Viscous
Fluid,” Astrophysics and Space Science.185(1),
129-135.
8. Samria, N.K., Prasad, R., Reddy, M.U.S., 1991,
“MHD Free-Convection Flow of a Visco-Elastic
Fluid Past an Infinite Vertical Plate,” Astrophysics
and Space Science.181, 135-145.
9. Chowdhury, M. K., Islam, M. N., 2000, “MHD Free
Convection Flow of Visco-Elastic Fluid Past an
Infinite Vertical Porous Plate,” Heat and Mass
transfer.36(5), 439 – 447.
10. Hameed, M., Nadeem., 2007, “Unsteady MHD
Flow of a Non-Newtonian Fluid on a Porous
Plate,”J.math.Anal. 325, 724-733.
11. Das, S.S., Panda, J.P., 2009, “ Magneto
Hydrodynamic Steady Free Convective Flow and
Mass Transfer in a Rotating Elastic-Viscous Fluid
Past an Infinite Vertical Porous Flat Plate With
Constant Suction,” AMSE Mod meascont B. 78, 1-
19.
12. Damesh, R.A., Shannak, B.A., 2010, “Visco-
Elastic Fluid Flow Past an PInfinite Vertical Porous
plate in The Presence of First Order Chemical
Reaction,” App. math. Mech. 31, 955-962.
13. Rajesh, V., 2011, “Heat Source and Mass Transfer
Effects on MHD Flow of an Elasto-Viscous Fluid
Through a Porous Medium,” Annals of faculty
engineering Hunedoara. Int. J of engineering.
1584-2665.
14. Kumar,A.G.V., and Vijaya Kumar Varma,S., 2011,
“Thermal Diffusion and Radiation Effects on
Unsteady MHD Flow Past an Impulsively Started
Exponentially Accelerated Vertical Plate with
Variable Temperature and Variable Mass
Diffusion,” Int. J. of Applied Mathematical
Analysis and Applications, Vol.6, No.1- 2, pp.169-
192.
15. Nabil, T.M., Eldabe, Sallam N. Sallam, Mohamed
Y., Abou-zeid., 2012, “Numerical Study of Viscous
Dissipation Effect on Free Convection Heat and
Mass Transfer of MHD Non-Newtonian Fluid
Flow Through a Porous Medium,” Journal of
Egyptian Mathematical society. 20, 139-151.
16. M.V. Ramana Murthy. “Unsteady MHD Free
Convective visco elastic flow and mass transfer
through Porous medium”. Int. Jr. Math. Comput.
Sci. 2 (2012), No. 2, 172-188
17. Nayak, A., Dash, G.C., Panda., 2013, “ MHD Flow
of a Visco-Elastic Fluid along Vertical Porous
Surface With Chemical Reaction,”A.Phys.Sci.
83(2), 153-161.
18. Umamaheswar, M., Varma, S.V.K., Raju, M.C.,
2013, “ Unsteady MHD Free Convective Visco-
Elastic Fluid Flow Bounded by an Infinite Inclined
Porous Plate in the Presence of Heat Source,
Viscous Dissipation and Ohmic Heat,”
International Journal of Advanced Science and
Technology, volume 61, 39 – 52.
19. Attia, H.A., 2013, “Unsteady Flow of a Non-
Newtonian Fluid Above a Rotating Disk With Heat
Transfer,” Int. J. of Heat and Mass Transfer
volume 46 issue 14, 2695 – 2700.
20. Ramesh Chand, G. C., Rana., 2014, “Double
Diffusive Convection in a Layer of Maxwell
Viscoelastic Fluid in Porous Medium in the
Presence of Soret and Dufour Effects,” Journal of
Fluids, 1-7.
21. Rashidi, M.M., Ali, M., Freidoonimehr, N.,
Rostami, B., Hossain, M.A.,2014, “Mixed
Convective Heat Transfer for MHD Viscoelastic
Fluid Flow Over a Porous Wedge With Thermal
Radiation,” Advances in mechanical Eng. Volume
6.
22. Jha, A.K., Choudhary, K., Sharma, A.,
2014,“Influence of Soret Effect on MHD Mixed
Convection Flow of Visco-Elastic Fluid Past a
Vertical Surface With Hall Effect,” Int. J. of
Applied Mechanics and Engineering volume 19
issue 1.
Fluid Past an Impulsively Started Infinite
Horizontal Plate,” Cambridge Phil. Trans. (9)8.
2. Walters, K., 1964, “Second-order Effects in
Elasticity, Plasticity and Fluid Dynamics,”
Pergamon, New York, p. 507.
3. Beard, D., Walters, K., 1964, “Elastico-viscous
boundary-layer flows. Part I. Two Dimensional
Flow near a Stagnation Point,” Proc. Camb.Phil.
Soc. 60, 667.
4. Rajagopal, K.R., Gupta, A.S., 1984, “An Exact
Solution for the Flow of a Non-Newtonian Fluid
Past an Infinite Porous Plate,” ActaMechanica. 19,
158-161.
5. Bestman, A.R., 1985, “Free Convection Heat
Transfer to Steady Radiating Non-Newtonian
MHD Flow Past a Vertical Porous Plate,”Int.J.
Numerical Methods in engineering. 21, 899-908.
6. Choubey, K.R., Yadav, R.R., 1985, “Magneto
Hydrodynamic Flow of a Non-Newtonian Fluid
Past a Porous Plate,” Astrophysics and Space
Science.115, 345-351.
7. Basant Kumar Jha., 1991, “MHD Free-Convection
and Mass Transfer Flow of an Elasto-Viscous
Fluid,” Astrophysics and Space Science.185(1),
129-135.
8. Samria, N.K., Prasad, R., Reddy, M.U.S., 1991,
“MHD Free-Convection Flow of a Visco-Elastic
Fluid Past an Infinite Vertical Plate,” Astrophysics
and Space Science.181, 135-145.
9. Chowdhury, M. K., Islam, M. N., 2000, “MHD Free
Convection Flow of Visco-Elastic Fluid Past an
Infinite Vertical Porous Plate,” Heat and Mass
transfer.36(5), 439 – 447.
10. Hameed, M., Nadeem., 2007, “Unsteady MHD
Flow of a Non-Newtonian Fluid on a Porous
Plate,”J.math.Anal. 325, 724-733.
11. Das, S.S., Panda, J.P., 2009, “ Magneto
Hydrodynamic Steady Free Convective Flow and
Mass Transfer in a Rotating Elastic-Viscous Fluid
Past an Infinite Vertical Porous Flat Plate With
Constant Suction,” AMSE Mod meascont B. 78, 1-
19.
12. Damesh, R.A., Shannak, B.A., 2010, “Visco-
Elastic Fluid Flow Past an PInfinite Vertical Porous
plate in The Presence of First Order Chemical
Reaction,” App. math. Mech. 31, 955-962.
13. Rajesh, V., 2011, “Heat Source and Mass Transfer
Effects on MHD Flow of an Elasto-Viscous Fluid
Through a Porous Medium,” Annals of faculty
engineering Hunedoara. Int. J of engineering.
1584-2665.
14. Kumar,A.G.V., and Vijaya Kumar Varma,S., 2011,
“Thermal Diffusion and Radiation Effects on
Unsteady MHD Flow Past an Impulsively Started
Exponentially Accelerated Vertical Plate with
Variable Temperature and Variable Mass
Diffusion,” Int. J. of Applied Mathematical
Analysis and Applications, Vol.6, No.1- 2, pp.169-
192.
15. Nabil, T.M., Eldabe, Sallam N. Sallam, Mohamed
Y., Abou-zeid., 2012, “Numerical Study of Viscous
Dissipation Effect on Free Convection Heat and
Mass Transfer of MHD Non-Newtonian Fluid
Flow Through a Porous Medium,” Journal of
Egyptian Mathematical society. 20, 139-151.
16. M.V. Ramana Murthy. “Unsteady MHD Free
Convective visco elastic flow and mass transfer
through Porous medium”. Int. Jr. Math. Comput.
Sci. 2 (2012), No. 2, 172-188
17. Nayak, A., Dash, G.C., Panda., 2013, “ MHD Flow
of a Visco-Elastic Fluid along Vertical Porous
Surface With Chemical Reaction,”A.Phys.Sci.
83(2), 153-161.
18. Umamaheswar, M., Varma, S.V.K., Raju, M.C.,
2013, “ Unsteady MHD Free Convective Visco-
Elastic Fluid Flow Bounded by an Infinite Inclined
Porous Plate in the Presence of Heat Source,
Viscous Dissipation and Ohmic Heat,”
International Journal of Advanced Science and
Technology, volume 61, 39 – 52.
19. Attia, H.A., 2013, “Unsteady Flow of a Non-
Newtonian Fluid Above a Rotating Disk With Heat
Transfer,” Int. J. of Heat and Mass Transfer
volume 46 issue 14, 2695 – 2700.
20. Ramesh Chand, G. C., Rana., 2014, “Double
Diffusive Convection in a Layer of Maxwell
Viscoelastic Fluid in Porous Medium in the
Presence of Soret and Dufour Effects,” Journal of
Fluids, 1-7.
21. Rashidi, M.M., Ali, M., Freidoonimehr, N.,
Rostami, B., Hossain, M.A.,2014, “Mixed
Convective Heat Transfer for MHD Viscoelastic
Fluid Flow Over a Porous Wedge With Thermal
Radiation,” Advances in mechanical Eng. Volume
6.
22. Jha, A.K., Choudhary, K., Sharma, A.,
2014,“Influence of Soret Effect on MHD Mixed
Convection Flow of Visco-Elastic Fluid Past a
Vertical Surface With Hall Effect,” Int. J. of
Applied Mechanics and Engineering volume 19
issue 1.
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Murthy, M. V., Reddy, G. C., & Reddy, S. R. (2018). An Exact Solution on Unsteady Mhd Viscoelastic Fluidflow Past an Infinite Vertical Plate in the Presence of thermal Radiation. International Journal Of Mathematics And Computer Research, 6(05), 1878-1890. https://doi.org/10.31142/ijmcr.v6i05.1